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Superdecomposable Pure‐Injective Modules and Integral Group Rings
Author(s) -
Puninski Gena,
Puninskaya Vera,
Toffalori Carlo
Publication year - 2006
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610705022544
Subject(s) - injective function , group ring , group (periodic table) , mathematics , ring (chemistry) , injective module , pure mathematics , physics , chemistry , quantum mechanics , organic chemistry
We prove that if G is a non‐trivial finite group, then the integral group ring ZG possesses a superdecomposable pure‐injective module.